36540516812800 has 2304 divisors, whose sum is σ = 127319051059200. Its totient is φ = 10032906240000.

The previous prime is 36540516812791. The next prime is 36540516812819. The reversal of 36540516812800 is 821861504563.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173177804695 + ... + 173177804905.

It is an arithmetic number, because the mean of its divisors is an integer number (55260004800).

Almost surely, 2^{36540516812800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36540516812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63659525529600).

36540516812800 is an abundant number, since it is smaller than the sum of its proper divisors (90778534246400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36540516812800 is a wasteful number, since it uses less digits than its factorization.

36540516812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 36540516812800 in words is "thirty-six trillion, five hundred forty billion, five hundred sixteen million, eight hundred twelve thousand, eight hundred".